113140800 has 294 divisors, whose sum is σ = 421707818. Its totient is φ = 29859840.

The previous prime is 113140799. The next prime is 113140813. The reversal of 113140800 is 8041311.

It can be written as a sum of positive squares in 3 ways, for example, as 5645376 + 107495424 = 2376^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1166352 + ... + 1166448.

Almost surely, 2^113140800 is an apocalyptic number.

113140800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210853909).

113140800 is an abundant number, since it is smaller than the sum of its proper divisors (308567018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113140800 is an frugal number, since it uses more digits than its factorization.

113140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 113140800 is about 10636.7664259398. The cubic root of 113140800 is about 483.6595287815.

The spelling of 113140800 in words is "one hundred thirteen million, one hundred forty thousand, eight hundred".